Hey there! I'm happy to help!
Let's think through all of the possibilities that can get us a seven. We can just start with 1 and then count up.
(1,6)
(6,1)
(2,5)
(5,2)
(3,4)
(4,3)
We see that there are six different possibilities that can gives us a seven. 6/36 is 1/6, so our probability is 1/6.
Have a wonderful day! :D
It's true according to the trigonometric circle. There's how it looks in details: <span>sin(a−b)=sin(−(b−a))=−sin(b−a)</span>
Starting with <span>3x^2-7x+12=0, we divide all four terms by 3, resulting in the following factored form:
</span><span>
3(</span><span>x^2-[7/3]x+4)=0.
</span><span>
Since 3 cannot equal 0, we can focus on the following:
x^2 - 7/4 x =-4
This completes the assignment (describe Joe's steps up to this point).
If you wish to go further:
Next, take HALF of the coefficient of x and square your result:
(-7/[4][2])^2 = 49/64
Add this to both sides of </span>x^2 - 7/4 x =-4: <span>x^2 - 7/4x + 49/64 =-4+49/64
Rewrite the left side as (x-7/8)^2 and the right side as 49/64 - 256/64
Simplify the right side by combining these terms: -207/64
Then x-7/8 = plus or minus (1/8)sqrt(-207)
Next, x = 7/8 plus or minus (1/8)*i*</span>√207, or
7 plus or minus i*√207
x = ----------------------------------
8
Answer:
∠ B ≈ 41.81°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin B = 
= 
= 
, thus
B = 
( ) ≈ 41.81° ( to the nearest hundredth )
The multiplication sign because "6 teaspoons of flour per pancake (6x) 10 pancakes she want to make (6x10=60) 60 tablespoons of flour!
